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Solutions for Chapter 5: Index Numbers
Below listed, you can find solutions for Chapter 5 of Maharashtra State Board Balbharati for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board.
Balbharati solutions for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board 5 Index Numbers Exercise 5.1 [Pages 77 - 78]
Find the Price Index Number using Simple Aggregate Method in the following example.
Use 1995 as base year in the following problem.
Commodity | P | Q | R | S | T |
Price (in ₹) in 1995 | 15 | 20 | 24 | 23 | 28 |
Price (in ₹) in 2000 | 27 | 38 | 32 | 40 | 45 |
Find the Price Index Number using Simple Aggregate Method in the following example.
Use 1995 as base year in the following problem.
Commodity | A | B | C | D | E |
Price (in ₹) in 1995 | 42 | 30 | 54 | 70 | 120 |
Price (in ₹) in 2005 | 60 | 55 | 74 | 110 | 140 |
Find the Price Index Number using Simple Aggregate Method in the following example.
Commodity | Unit | Base Year Price (in ₹) | Current Year Price (in ₹) |
Wheat | kg | 28 | 36 |
Rice | kg | 40 | 56 |
Milk | litre | 35 | 45 |
Clothing | meter | 82 | 104 |
Fuel | litre | 58 | 72 |
Find the Price Index Number using the Simple Aggregate Method in the following example.
Use 2000 as base year in the following problem.
Commodity | Price (in ₹) for year 2000 |
Price (in ₹) for year 2006 |
Watch | 900 | 1475 |
Shoes | 1760 | 2300 |
Sunglasses | 600 | 1040 |
Mobile | 4500 | 8500 |
Find the Price Index Number using the Simple Aggregate Method in the following example.
Use 1990 as base year in the following problem.
Commodity | Unit | Price (in ₹) for year 2000 |
Price (in ₹) for year 2006 |
Butter | kg | 27 | 33 |
Cheese | kg | 30 | 36 |
Milk | litre | 25 | 29 |
Bread | loaf | 10 | 14 |
Eggs | doz | 24 | 36 |
Ghee | tin | 250 | 320 |
Find the Price Index Number using the Simple Aggregate Method in the following example.
Assume 2000 to be base year in the following problem.
Fruit | Unit | Price (in ₹) in 2000 |
Price (in ₹) for 2007 |
Mango | doz | 250 | 300 |
Banana | doz | 12 | 24 |
Apple | kg | 80 | 110 |
Peach | kg | 75 | 90 |
Orange | doz | 36 | 65 |
Sweet Lime | doz | 30 | 45 |
Find the Price Index Number using the Simple Aggregate Method in the following example.
Use 2005 as base year in the following problem.
Vegetable | Unit | Price (in ₹) in 2005 |
Price (in ₹) for 2012 |
Ladies Finger | kg | 32 | 38 |
Capsicum | kg | 30 | 36 |
Brinjal | kg | 40 | 60 |
Tomato | kg | 40 | 62 |
Potato | kg | 16 | 28 |
Find the Quantity Index Number using the Simple Aggregate Method in the following example.
Commodity | I | II | III | IV | V |
Base Year Quantities | 140 | 120 | 100 | 200 | 225 |
Current Year Quantities | 100 | 80 | 70 | 150 | 185 |
Find the Quantity Index Number using the Simple Aggregate Method in the following example.
Commodity | A | B | C | D | E |
Base Year Quantities | 360 | 280 | 340 | 160 | 260 |
Current Year Quantities | 440 | 320 | 470 | 210 | 300 |
Find the Value Index Number using Simple Aggregate Method in the following example.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
A | 30 | 22 | 40 | 18 |
B | 40 | 16 | 60 | 12 |
C | 10 | 38 | 15 | 24 |
D | 50 | 12 | 60 | 16 |
E | 20 | 28 | 25 | 36 |
Find the Value Index Number using Simple Aggregate Method in the following example.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
A | 50 | 22 | 70 | 14 |
B | 70 | 16 | 90 | 22 |
C | 60 | 18 | 105 | 14 |
D | 120 | 12 | 140 | 15 |
E | 100 | 22 | 155 | 28 |
Find x if the Price Index Number by Simple Aggregate Method is 125.
Commodity | P | Q | R | S | T |
Base Year Price (in ₹) | 8 | 12 | 16 | 22 | 18 |
Current Year Price (in ₹) |
12 | 18 | x | 28 | 22 |
Find x if the Price Index Number by Simple Aggregate Method is 120, taking 1995 as base year.
Commodity | A | B | C | D |
Price (in ₹) for 1995 | 95 | y | 80 | 35 |
Price (in ₹) for 2003 | 116 | 74 | 92 | 42 |
Balbharati solutions for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board 5 Index Numbers Exercise 5.2 [Page 82]
Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and MarshallEdgeworth’s Price index numbers.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
A | 8 | 20 | 11 | 15 |
B | 7 | 10 | 12 | 10 |
C | 3 | 30 | 5 | 25 |
D | 2 | 50 | 4 | 35 |
Calculate Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall - Edgeworth’s Price index numbers.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
I | 10 | 9 | 20 | 8 |
II | 20 | 5 | 30 | 4 |
III | 30 | 7 | 50 | 5 |
IV | 40 | 8 | 60 | 6 |
Calculate Walsh’s Price Index Number.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
L | 4 | 16 | 3 | 19 |
M | 6 | 16 | 8 | 14 |
N | 8 | 28 | 7 | 32 |
Calculate Walsh’s Price Index Number.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
I | 10 | 12 | 20 | 9 |
II | 20 | 4 | 25 | 8 |
III | 30 | 13 | 40 | 27 |
IV | 60 | 29 | 75 | 36 |
If P01(L) = 90 and P01(P) = 40, find P01(D – B) and P01(F).
If ∑ p0q0 = 140, ∑ p0q1 = 200, ∑ p1q0 = 350, ∑ p1q1 = 460, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.
Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.
Given that ∑ p0q0 = 220, ∑ p0q1 = 380, ∑ p1q1 = 350 and MarshallEdgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.
Find x in the following table if Laspeyre’s and Paasche’s Price Index Numbers are equal.
Commodity | Base Year | Current year | ||
Price | Quantity | Price | Quantity | |
A | 2 | 10 | 2 | 5 |
B | 2 | 5 | x | 2 |
If Laspeyre's Price Index Number is four times Paasche's Price Index Number, then find the relation between Dorbish-Bowley's and Fisher's Price Index Numbers.
If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.
Balbharati solutions for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board 5 Index Numbers Exercise 5.3 [Page 87]
Calculate the cost of living index in problem
Group | Base Year | Current Year | |
Price | Quantity | Price | |
Food | 120 | 15 | 170 |
Clothing | 150 | 20 | 190 |
Fuel & Lighting | 130 | 30 | 220 |
House Rent | 160 | 10 | 180 |
Miscellaneous | 200 | 12 | 200 |
Calculate the cost of living index in problem
Group | Base Year | Current Year | |
Price | Quantity | Price | |
Food | 40 | 15 | 45 |
Clothing | 30 | 10 | 35 |
Fuel & Lighting | 20 | 17 | 25 |
House Rent | 60 | 22 | 70 |
Miscellaneous | 70 | 25 | 80 |
Calculate the cost of living index in problem
Group | Base Year | Current Year | |
Price | Quantity | Price | |
Food | 132 | 10 | 170 |
Clothing | 154 | 12 | 160 |
Fuel & Lighting | 164 | 20 | 180 |
House Rent | 175 | 18 | 195 |
Miscellaneous | 128 | 5 | 120 |
Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 70 | 90 | 100 | 60 | 80 |
W | 5 | 3 | 2 | 4 | 6 |
Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 400 | 300 | 150 | 120 | 100 |
W | 3 | 3 | 4 | 5 | 2 |
Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 200 | 150 | 120 | 180 | 160 |
W | 30 | 20 | 10 | 40 | 50 |
Find x if the cost of living index is 150.
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 180 | 120 | 300 | 100 | 160 |
W | 4 | 5 | 6 | x | 3 |
Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:
Find y if the cost of living index is 200.
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 180 | 120 | 160 | 300 | 200 |
W | 4 | 5 | 3 | y | 2 |
The Cost of Living Index Number for years 1995 and 1999 are 140 and 200 respectively. A person earns ₹ 11,200 per month in the year 1995. What should be his monthly earnings in the year 1999 in order to maintain his standard of living as in the year 1995?
Balbharati solutions for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board 5 Index Numbers Miscellaneous Exercise 5 [Pages 89 - 94]
Choose the correct alternative :
Price Index Number by Simple Aggregate Method is given by
`sum "p"_1/"p"_0 xx 100`
`sum "p"_0/"p"_1 xx 100`
`(sum "p"_1)/(sum"p"_0) xx 100`
`(sum "p"_0)/(sum"p"_1) xx 100`
Choose the correct alternative :
Quantity Index Number by Simple Aggregate Method is given by
`sum "q"_1/"q"_0 xx 100`
`sum "q"_0/"q"_1 xx 100`
`(sum "q"_1)/(sum"q"_0) xx 100`
`(sum "q"_1)/(sum"q"_0) xx 100`
Value Index Number by Simple Aggregate Method is given by ______.
`sum("p"_1"q"_0)/("p"_0"q"_1) xx 100`
`sum("p"_0"q"_1)/("p"_0"q"_0) xx 100`
`(sum"p"_1"q"_1)/(sum"p"_1"q"_0) xx 100`
`(sum"p"_1"q"_1)/(sum"p"_0"q"_0) xx 100`
Choose the correct alternative :
The price Index Number by Weighted Aggregate Method is given by ______.
`sum("p"_1"w")/("p"_0"w") xx 100`
`sum("p"_0"w")/("p"_1"w") xx 100`
`(sum"p"_1"w")/(sum"p"_0"w") xx 100`
`(sum"p"_0"w")/(sum"p"_1"w") xx 100`
Quantity Index Number by Weighted Aggregate Method is given by ______.
`sum("q"_1"w")/("q"_0"w") xx 100`
`sum("q"_0"w")/("q"_1"w") xx 100`
`(sum"q"_1"w")/(sum"q"_0"w") xx 100`
`(sum"q"_0"w")/(sum"q"_1"w") xx 100`
Choose the correct alternative :
Value Index Number by Weighted Aggregate Method is given by
`sum("p"_1"q"_0"w")/("p"_0"q"_0"w") xx 100`
`sum("p"_0"q"_1"w")/("p"_0"q"_0"w") xx 100`
`(sum"p"_1"q"_1"w")/(sum"p"_0"q"_1"w") xx 100`
`(sum"p"_1"q"_1"w")/(sum"p"_0"q"_0"w") xx 100`
Laspeyre’s Price Index Number is given by ______.
`(sump_0q_0)/(sump_1q_0) xx 100`
`(sump_0q_1)/(sump_1q_1) xx 100`
`(sump_1q_0)/(sump_0q_0) xx 100`
`(sump_1q_1)/(sump_0q_1) xx 100`
Paasche’s Price Index Number is given by ______
`(sum"p"_0"q"_0)/(sum"p"_1"q"_0) xx 100`
`(sum"p"_0"q"_1)/(sum"p"_1"q"_1) xx 100`
`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
Dorbish-Bowley’s Price Index Number is given by ______.
`((sum"p"_1"q"_0)/(sum"p"_0"q"_1) + (sum"p"_0"q"_1)/(sum"p"_1"q"_0))/(2) xx 100`
`((sum"p"_1"q"_1)/(sum"p"_0"q"_0) + (sum"p"_0"q"_0)/(sum"p"_1"q"_1))/(2) xx 100`
`((sum"p"_1"q"_0)/(sum"p"_0"q"_0) + (sum"p"_1"q"_1)/(sum"p"_0"q"_1))/(2) xx 100`
`((sum"p"_0"q"_0)/(sum"p"_1"q"_0) + (sum"p"_0"q"_1)/(sum"p"_1"q"_1))/(2) xx 100`
Choose the correct alternative :
Fisher’s Price Number is given by
`sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100`
`sqrt((sum"p"_0"q"_0)/(sum"p"_1"q"_0) xx (sum"p"_0"q"_1)/(sum"p"_1"q"_1)) xx 100`
`sqrt((sum"p"_0"q"_1)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_1"q"_0)) xx 100`
`sqrt((sum"p"_1"q"_0)/(sum"p"_1"q"_1) xx (sum"p"_0"q"_0)/(sum"p"_0"q"_1)) xx 100`
Choose the correct alternative :
Marshall-Edgeworth’s Price Index Number is given by
`(sum"p"_1("q"_0 + "q"_1))/(sum"p"_0("q"_0 + "q"_1)) xx 100`
`(sum"p"_0("q"_0 + "q"_1))/(sum"p"_1("q"_0 + "q"_1)) xx 100`
`(sum"q"_1("p"_0 + "p"_1))/(sum"q"_1("p"_0 + "p"_1)) xx 100`
`(sum"q"_0("p"_0 + "p"_1))/(sum"q"_1("p"_0 + "p"_1)) xx 100`
Choose the correct alternative :
Walsh’s Price Index Number is given by
`(sum"p"_1sqrt("q"_0"q"_1))/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`
`(sum"p"_0sqrt("q"_0"q"_1))/(sum"p"_1sqrt("q"_0"q"_1)) xx 100`
`(sum"q"_1sqrt("p"_0"p"_1))/(sum"q"_0sqrt("p"_0"p"_1)) xx 100`
`(sum"q"_0sqrt("p"_0"p"_1))/(sum"q"_1sqrt("p"_0"p"_1)) xx 100`
The cost of Living Index Number using Aggregate Expenditure Method is given by ______.
`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`
`sum("p"_1"q"_1)/("p"_0"q"_1) xx 100`
`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100`
`sum("p"_1"q"_0)/("p"_0"q"_0) xx 100`
The Cost of Living Index Number using Weighted Relative Method is given by ______
`(sum"IW")/(sum"W")`
`sum"W"/"IW"`
`(sum"W")/(sum"IW")`
`sum"IW"/"W"`
Fill in the blank :
Price Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Value Index Number by Simple Aggregate Method is given by _______.
Fill in the blank :
Price Index Number by Weighted Aggregate Method is given by _______.
Fill in the blank :
Quantity Index Number by Weighted Aggregate Method is given by _______.
Fill in the blank :
Value Index Number by Weighted Aggregate Method is given by _______.
Laspeyre’s Price Index Number is given by _______.
Fill in the blank :
Paasche’s Price Index Number is given by _______.
Fill in the blank :
Dorbish-Bowley’s Price Index Number is given by _______.
Fisher's Price Index Number is given by ______.
Fill in the blank :
Marshall-Edgeworth’s Price Index Number is given by _______.
Walsh’s Price Index Number is given by _______.
State whether the following is True or False :
`(sum"p"_1)/(sum"p"_0) xx 100` is the price Index Number by Simple Aggregate Method.
True
False
`(sum"q"_0)/(sum"q"_1) xx 100` is the Quantity Index Number by Simple Aggregate Method.
True
False
`sum ("p"_0"q"_0)/("p"_1"q"_1) xx 100` is Value Index Number by Simple Aggregate Method.
True
False
`(sump_1q_0)/(sump_0q_0) xx 100` is Paasche’s Price Index Number.
True
False
State whether the following is True or False :
`sum("p"_1"q"_1)/("p"_0"q"_1)` is Laspeyre’s Price Index Number.
True
False
State whether the following is True or False :
`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is Dorbish-Bowley’s Price Index Number.
True
False
State whether the following is True or False :
`(1)/(2)[sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0)) + sqrt("p"_1"q"_1)/(sqrt("p"_0"q"_1))] xx 100` is Fisher’s Price Index Number.
True
False
`(sum"p"_0("q"_0 + "q"_1))/(sum"p"_1("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth’s Price Index Number.
True
False
`(sum"p"_0sqrt("q"_0"q"_1))/(sum"p"_1sqrt("q"_0"q"_1)) xx 100` is Walsh’s Price Index Number.
True
False
State whether the following is True or False :
`sqrt(("p"_1"q"_0)/(sum"p"_0"q"_0)) xx sqrt((sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100` is Fisher’s Price Index Number.
True
False
Solve the following problem :
Find the Price Index Number using Simple Aggregate Method. Consider 1980 as base year.
Commodity | Price in 1980 (in ₹) | Price in 1985 (in ₹) |
I | 22 | 46 |
II | 38 | 36 |
III | 20 | 28 |
IV | 18 | 44 |
V | 12 | 16 |
Solve the following problem :
Find the Quantity Index Number using Simple Aggregate Method.
Commodity | Base year quantity | Current year quantity |
A | 100 | 130 |
B | 170 | 200 |
C | 210 | 250 |
D | 90 | 110 |
E | 50 | 150 |
Solve the following problem :
Find the Value Index Number using Simple Aggregate Method.
Commodity | Base Year | Current Year | ||
Price | Quantity | Price | Quantity | |
I | 20 | 42 | 22 | 45 |
II | 35 | 60 | 40 | 58 |
III | 50 | 22 | 55 | 24 |
IV | 60 | 56 | 70 | 62 |
V | 25 | 40 | 30 | 41 |
Solve the following problem :
Find x if the Price Index Number using Simple Aggregate Method is 200.
Commodity | P | Q | R | S | T |
Base Year Price | 20 | 12 | 22 | 23 | 13 |
Current Year Price | 30 | x | 38 | 51 | 19 |
Solve the following problem :
Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.
Commodity | Base year | Current year | ||
Price p0 |
Quantity q0 |
price p1 |
Quantity q1 |
|
A | 20 | 18 | 30 | 15 |
B | 25 | 8 | 28 | 5 |
C | 32 | 5 | 40 | 7 |
D | 12 | 10 | 18 | 10 |
Solve the following problem :
Calculate Dorbish-Bowley’s Price Index Number for the following data.
Commodity | Base Year | Current Year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
I | 8 | 30 | 11 | 28 |
II | 9 | 25 | 12 | 22 |
III | 10 | 15 | 13 | 11 |
Solve the following problem :
Calculate Marshall-Edgeworth’s Price Index Number for the following data.
Commodity | Base Year | Current Year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
X | 12 | 35 | 15 | 25 |
Y | 29 | 50 | 30 | 70 |
Solve the following problem :
Calculate Walsh’s Price Index Number for the following data.
Commodity | Base year | Current year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
I | 8 | 30 | 12 | 25 |
II | 10 | 42 | 20 | 16 |
Solve the following problem :
Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.
Commodity | Base Year | Current Year | ||
Price P0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
I | 8 | 30 | 12 | 25 |
II | 10 | 42 | 20 | 16 |
Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data
Commodity | Base Year | Current Year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
A | 3 | x | 2 | 5 |
B | 4 | 6 | 3 | 5 |
Solve the following problem:
If find x is Walsh’s Price Index Number is 150 for the following data
Commodity | Base Year | Current Year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
A | 5 | 3 | 10 | 3 |
B | x | 4 | 16 | 9 |
C | 15 | 5 | 23 | 5 |
D | 10 | 2 | 26 | 8 |
Solve the following problem :
Find x if Paasche’s Price Index Number is 140 for the following data.
Commodity | Base Year | Current Year | ||
Price p0 |
Quantity q0 |
Price p1 |
Quantity q1 |
|
A | 20 | 8 | 40 | 7 |
B | 50 | 10 | 60 | 10 |
C | 40 | 15 | 60 | x |
D | 12 | 15 | 15 | 15 |
Solve the following problem :
Given that Laspeyre’s and Paasche’s Price Index Numbers are 25 and 16 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Number.
If Laspeyre’s and Dorbish’s Price Index Numbers are 150.2 and 152.8 respectively, find Paasche’s Price Index Number.
Solve the following problem :
If `sum"p_"0"q"_0 = 120, sum "p"_0"q"_1 = 160, sum "p"_1"q"_1 = 140, and sum "p"_1"q"+0` = 200, find Laspeyre’s, Paasche’s Dorbish-Bowley’s and Marshall Edgeworth’s Price Index Number.
Solve the following problem :
Given that `sum "p"_0"q"_0 = 130, sum "p"_1"q"_1 = 140, sum "p"_0"q"_1 = 160, and sum "p"_1"q"_0 = 200`, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall-Edgeworth’s Price Index Numbers.
Solve the following problem :
Given that `sum "p"_1"q"_1 = 300, sum "p"_0"q"_1 = 320, sum "p"_0"q"_0` = 120, and Marshall- Edgeworth’s Price Index Number is 120, find `sum"p"_1"q"_0` and Paasche’s Price Index Number.
Solve the following problem :
Calculate the cost of living number for the following data.
Group | Base Year | Current Year | |
Price p0 |
Quantity q0 |
Price p1 |
|
Food | 150 | 13 | 160 |
Clothing | 170 | 18 | 150 |
Fuel and Lighting | 175 | 10 | 190 |
House Rent | 200 | 12 | 210 |
Miscellaneous | 210 | 15 | 260 |
Solve the following problem :
Find the cost living index number by the Weighted Aggregate Method.
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 78 | 80 | 110 | 60 | 90 |
W | 5 | 3 | 4 | 2 | 6 |
Solve the following problem :
Find the cost of living index number by Family Budget Method for the following data. Also, find the expenditure of a person in the year 2008 if his expenditure in the year 2005 was ₹ 10,000.
Group | Base Year (2005) Price |
Current Year (2008) Price |
Weight |
Food | 12 | 60 | 25 |
Clothing | 10 | 45 | 20 |
Fuel and Lighting | 20 | 35 | 15 |
House Rent | 25 | 20 | 30 |
Miscellaneous | 16 | 48 | 10 |
Solve the following problem :
Find x if the cost of living index number is 193 for the following data.
Group | Food | Clothing | Fuel & Lighting | House Rent | Miscellaneous |
I | 221 | 198 | 171 | 183 | 161 |
W | 35 | 14 | x | 8 | 20 |
Solve the following problem :
The cost of living index number for year 2000 and 2003 are 150 and 210 respectively. A person earns ₹ 13,500 per month in the year 2000. What should be his monthly earning in the year 2003 in order to maintain the same standard of living?
Solutions for 5: Index Numbers
Balbharati solutions for Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board chapter 5 - Index Numbers
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Concepts covered in Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board chapter 5 Index Numbers are Index Numbers, Types of Index Numbers, Index Numbers - Terminology and Notation, Construction of Index Numbers, Simple Aggregate Method, Weighted Aggregate Method, Cost of Living Index Number, Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method, Method of Constructing Cost of Living Index Numbers - Family Budget Method, Uses of Cost of Living Index Number.
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